{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lorentz lineshape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<i>© Von P. Walden, Washington State University</i>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook calculates the Lorentz lineshape and its dependency on pressure and temperature. It follows section 3.4 in *Satellite Meteorology* by Kidder and Vonder Haar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. rd_lnfl.py is a function to read the HITRAN database and is saved in /Users/vonw/work/software/lnfl/rd_lnfl.py.\n",
    "\n",
    "2. Explanations for the columns in the HITRAN database files (2004-2012) can be found at: https://hitran.org/docs/definitions-and-units/\n",
    "\n",
    "3. Constants used by HITRAN: h = 6.62606957 × 10^(−27) ergs , c = 2.99792458 × 10^(10) cm s−1, k = 1.3806488 × 10^(−16) erg K−1, c2 = 1.4387770 cm K."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# From the HITRAN 2012 database for CO2 between 650 and 850 cm-1 (about 12-15 um).\n",
    "# ....Calculations from https://hitran.org/docs/definitions-and-units/\n",
    "Pref = 1.    # atm\n",
    "Tref = 296.0 # Kelvin\n",
    "hitran = pd.DataFrame({'Vij':   [667.400517, 700.008330, 750.017090, 800.004796, 850.018520],\n",
    "                       'Sij':   [1.300e-19,  1.350e-29,  5.050e-31,  2.750e-26,  9.040e-30 ],\n",
    "                       'Gair':  [0.0863,     0.0663,     0.0612,     0.0643,     0.0630    ],\n",
    "                       'Gself': [0.1190,     0.0750,     0.0630,     0.0680,     0.0650    ],\n",
    "                       'Nair':  [0.74,       0.77,       0.68,       0.73,       0.71      ],\n",
    "                       'Pshift':[-0.000431,  -0.000895,  -0.000846,  -0.000998,  -0.001103 ]})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the atmospheric temperature and pressure, then determine the partial pressure of CO2.\n",
    "P = 0.7                    # atm (about 700 mb; lower troposphere)\n",
    "T = 260.                   # Kelvin (just a guess of T at 700 mb)\n",
    "Pself = P * 0.00004        # Assuming CO2 is 400 ppm in the atmosphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Temperature and pressure dependenc of the line width\n",
    "hitran['G'] = (Tref/T)**(hitran.Nair) * (hitran.Gair*(P-Pself) + hitran.Gself*Pself)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Pressure shift correction of line position\n",
    "hitran['vij'] = hitran.Vij + hitran.Pshift*P"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Vij</th>\n",
       "      <th>Sij</th>\n",
       "      <th>Gair</th>\n",
       "      <th>Gself</th>\n",
       "      <th>Nair</th>\n",
       "      <th>Pshift</th>\n",
       "      <th>G</th>\n",
       "      <th>vij</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>667.400517</td>\n",
       "      <td>1.300000e-19</td>\n",
       "      <td>0.0863</td>\n",
       "      <td>0.119</td>\n",
       "      <td>0.74</td>\n",
       "      <td>-0.000431</td>\n",
       "      <td>0.066495</td>\n",
       "      <td>667.400215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>700.008330</td>\n",
       "      <td>1.350000e-29</td>\n",
       "      <td>0.0663</td>\n",
       "      <td>0.075</td>\n",
       "      <td>0.77</td>\n",
       "      <td>-0.000895</td>\n",
       "      <td>0.051284</td>\n",
       "      <td>700.007704</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>750.017090</td>\n",
       "      <td>5.050000e-31</td>\n",
       "      <td>0.0612</td>\n",
       "      <td>0.063</td>\n",
       "      <td>0.68</td>\n",
       "      <td>-0.000846</td>\n",
       "      <td>0.046789</td>\n",
       "      <td>750.016498</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>800.004796</td>\n",
       "      <td>2.750000e-26</td>\n",
       "      <td>0.0643</td>\n",
       "      <td>0.068</td>\n",
       "      <td>0.73</td>\n",
       "      <td>-0.000998</td>\n",
       "      <td>0.049479</td>\n",
       "      <td>800.004097</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>850.018520</td>\n",
       "      <td>9.040000e-30</td>\n",
       "      <td>0.0630</td>\n",
       "      <td>0.065</td>\n",
       "      <td>0.71</td>\n",
       "      <td>-0.001103</td>\n",
       "      <td>0.048353</td>\n",
       "      <td>850.017748</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Vij           Sij    Gair  Gself  Nair    Pshift         G  \\\n",
       "0  667.400517  1.300000e-19  0.0863  0.119  0.74 -0.000431  0.066495   \n",
       "1  700.008330  1.350000e-29  0.0663  0.075  0.77 -0.000895  0.051284   \n",
       "2  750.017090  5.050000e-31  0.0612  0.063  0.68 -0.000846  0.046789   \n",
       "3  800.004796  2.750000e-26  0.0643  0.068  0.73 -0.000998  0.049479   \n",
       "4  850.018520  9.040000e-30  0.0630  0.065  0.71 -0.001103  0.048353   \n",
       "\n",
       "          vij  \n",
       "0  667.400215  \n",
       "1  700.007704  \n",
       "2  750.016498  \n",
       "3  800.004097  \n",
       "4  850.017748  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hitran"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Absorption near band center at 667 cm-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Absorption Coefficient is:  1.2447713729049854e-23  m2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the Lorentz line profile about the line position at 667 cm-1\n",
    "line = 0\n",
    "dwn = 1.\n",
    "wn  = np.arange(hitran.iloc[line].vij-dwn, hitran.iloc[line].vij+dwn, 0.01)\n",
    "fL  = (1./np.pi) * hitran.iloc[line].G / (hitran.iloc[line].G**2 + (wn - hitran.iloc[line].vij)**2)\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,fL)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Lorentz Line Profile')\n",
    "title('Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Absorption (m2)')\n",
    "title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n",
    "print('Absorption Coefficient is: ', k, ' m2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Absorption at 700 cm-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Absorption Coefficient is:  1.3057407684890293e-33  m2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the Lorentz line profile about the line position at 667 cm-1\n",
    "line = 1\n",
    "dwn = 1.\n",
    "wn  = np.arange(hitran.iloc[line].vij-dwn, hitran.iloc[line].vij+dwn, 0.01)\n",
    "fL  = (1./np.pi) * hitran.iloc[line].G / (hitran.iloc[line].G**2 + (wn - hitran.iloc[line].vij)**2)\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,fL)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Lorentz Line Profile')\n",
    "title('Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Absorption (m2)')\n",
    "title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n",
    "print('Absorption Coefficient is: ', k, ' m2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Absorption at 800 cm-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Absorption Coefficient is:  2.6630093135455274e-30  m2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the Lorentz line profile about the line position at 667 cm-1\n",
    "line = 3\n",
    "dwn = 1.\n",
    "wn  = np.arange(hitran.iloc[line].vij-dwn, hitran.iloc[line].vij+dwn, 0.01)\n",
    "fL  = (1./np.pi) * hitran.iloc[line].G / (hitran.iloc[line].G**2 + (wn - hitran.iloc[line].vij)**2)\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,fL)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Lorentz Line Profile')\n",
    "title('Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "figure(figsize=(12,6))\n",
    "plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n",
    "grid()\n",
    "xlabel('Wavenumber')\n",
    "ylabel('Absorption (m2)')\n",
    "title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n",
    "\n",
    "k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n",
    "print('Absorption Coefficient is: ', k, ' m2')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
